State True or False.
For a Vander Waals gas $V_{c} = 3 b, P_{c} = a / 27 b^{2}, T_{c} = 8 a / 27 b R$ . Numerically the compressibility factor of a Vander Waals gas at the critical points is $Z$ = 0.375.

True

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False

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Solution

The correct option is A True
For a Vander Waals gas $V_{c} = 3 b, P_{c} = a / 27 b^{2}, T_{c} = 8 a / 27 b R$ . Numerically the compressibility factor of a Vander Waals gas at the critical points is $Z$ $=$ 0.375.
$Z = \frac{P_{c} V_{c}}{R T_{c}}$
$Z = \frac{a / 27 b^{2} \times 3 b}{R \times 8 a / 27 b R} = \frac{3}{8} = 0.375$

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Similar questions

V_{c} = 3 b, P_{c} = \frac{a}{27 b^{2}}

T_{c} = \frac{8_{a}}{27 b R}

V_{c} = 3 b, P_{c} = \frac{a}{27 b^{2}}

T_{c} = \frac{8_{a}}{27 b R}

0^{\circ} C

P_{c}, V_{c}, T_{c}

\frac{a}{27 b^{2}}, 3 b

\frac{8 a}{27 R b}

Z

\frac{3}{8}

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